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Finding the Fourth Proportional to 980.14, 1,470.47 and 364.02

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Solution

The fourth proportional to 980.14, 1,470.47 and 364.02 is: 546.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    980.14 : 1,470.47 = 364.02 : x
  2. Step 2: Convert to fraction form
    980.14/1,470.47 = 364.02/x
  3. Step 3: Cross multiply
    980.14x = 1,470.47 × 364.02
  4. Step 4: Simplify right side
    980.14x = 535,278.67
  5. Step 5: Solve for x
    x = 535,278.67/980.14
  6. Step 6: Final answer
    x = 546.12

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.